The 3-1 win moved Liverpool back into fourth place on the Premier League table.
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Robertson said afterwards: "Yeah, obviously our objectives this season have changed during the season due to our form and things like that, but I’ve said all along Champions League is so important to this football club and I think today we’ve made a big step.
"You’re constantly trying to finish in the top five and things like that, but then obviously we knew Villa had dropped points early doors and we knew if we won we could go above them.
"So, we want to chase the people above us, of course we do, and we want make sure we secure Champions League.
"That’s so important for this football club and I think we’ve made a big step today."